Answer:
40/3
Step-by-step explanation:
are the following ratios equal. write yes or no. use the theroem that the product of the extremes equals the product means.
The ratios will be equal if the theorem that the product of the extremes equals the product means follows.
Let us understand the equality of ratios through example. The example ratio will be -
7:10 = 21:30
In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.
Product of extremes = 7 × 30
Extremes product = 210
Product of means = 21 × 10
Means product = 210
Since the products are equal, the ratios are also equal.
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The complete question is -
Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.
Ratio = 7:10 and 21:30.
Which equation has x = 5 as the solution
Answer:
Use M a t h w a y
Step-by-step explanation:
Answer:
5x=25
Step-by-step explanation:
10. The steps to solve 1 < 3x +5
Answer:
-1.33333 < x
Step-by-step explanation:
subtract 5 from both sides
get -4<3x
divde 3 by both sides
-1.33< x
Hi, there!
_______
The first step is:
» Subtract both sides by 5
\(\sf{-4 < 3x}\)
Now divide each term by 3:
\(\sf{-\dfrac{4}{3} < x}\)
We can flip it over:
\(\sf{x > -\dfrac{4}{3}}\)
Hope the answer - and explanation - made sense,
happy studying!!
What is the slant height of the cone?
The slant height of the cone is 12.6 units
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
h= 12
diameter = d = 8
so, radius, r = d/2 = 8/2 = 4
Formula for slant height , l is:
l = √(h² + r²) = √(12² + 4² )
= √(144 + 16) = √160 = 12.649 ≈ 12.6 units
The slant height of the cone is 12.6 units
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dressed like me walk talk and act like me just might be the next best thing but not quite me
Answer:
Okay..
Step-by-step explanation:
Your are cunfoosing, help meh understand what ur sayin
(√5x+11 -4)(√5x+11 +4)
Answer:
5\(x^{2}\)+49.193496x+105
Step-by-step explanation:
Given P(A0 = .4 and P(B) = .2 and the P(A and B) = 0, what is the probability of A or B>
A: .2
B: .6
C: 0
D: 1
Answer:
.2 would be the correct answer I believe.
Step-by-step explanation:
Probability of A or B Independent
Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn't affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.
If i'm wrong please don't say anything I haven't learned this stuff yet. :)
There is a total of 56 tiles.
(b) Work out the number of grey tiles.
Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-8, - 7); y = -8x - 9
Answer:9
Step-by-step explanation:
0
5. Jamal is taking a road trip. He plans to travel a total of 350 miles over the course of 8 days. If he plans on driving an equal amount each day, how far will he travel each day? Solve and check!
Answer: 43.75 miles per day.
Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.
Use inductive reasoning to determine the next two terms in each sequence: a) 1, 3, 7, 15, 31 ....
Answer:
63,127
Step-by-step explanation:
the interval between each number is multiplied by 2
such as between 1 and 3 we have 2 so 2×2=4
the 4+3=7 and so on
Answer: 63, 127
Step-by-step explanation: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127
Or, if we call the first value a1 , the sequence is given by an=2n−1
The first approach to analyzing almost any sequence is to look at the differences of successive elements. In this sequence, that’s 2, 4, 8, 16, 32. That makes the answers above pretty easy.
Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
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On a team, 7 girls and 6 boys scored a total of 79 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 19. Each girl scored the
same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Each girl scored 9 points
Each boy scored 7 points
Step-by-step explanation:
Let the number of points each girl scored = a
Let the number of points each boy scored = b
7 girls and 6 boys scored a total of 105 points.
7a + 6b = 105......... Equation 1
The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21
7a - 6b = 21........... Equation 2
7a + 6b = 105......... Equation 1
7a - 6b = 21........... Equation 2
Subtract Equation 2 from Equation 1
12b = 84
b = 84/12
b = 7
Therefore, each boy scored 7 points
7a + 6b = 105......... Equation 1
b = 7
7a+ 6b = 105
7a + 6(7) = 105
7a + 42 = 105
7a = 105 - 42
7a = 63
a = 63/7
a = 9
Therefore, each girl scored 9 points.
A package of 6 pairs of insulated gloves costs $34.14 What is the unit price of the pairs of gloves?
The unit price is $____per pair of gloves.
For each of these intervals, list all its elements or explain 2.1 Sets 131 why it is empty. a) [a,a] c) (a, a] e) (a,b), where a > b b) [a,a) d) (a, a) f) [a,b],wherea>b
Answer: b
Step-by-step explanation:
How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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Pls help ASAP!!
Which of the following is equivalent to 6(a + 5) + 14?
A) 30a + 14
B: 6a + 19
C: 6a + 44
D: 6a + 70
Answer:
C is the correct answer to your question
4x+5(7x-3)=9(x-5)
x????
Answer:
x=-1
Step-by-step explanation:
4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1
Answer:
\( \sf \: x = - 1\)
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30 ÷ 30
→ [ x = -1 ]
Hence, the value of x is -1.
SOMEONE PLEASE HELP ME PLEASE SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP
Answer:
The answer is 8
Step-by-step explanation:
If this answer helped you then please consider marking this as brainliest and like this respone :)
A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism?
Step-by-step explanation:
It has
two sides 8x12
two sides 12x4
two sides 4x8 total 352 in^2
The world’s fastest flying insect is the dragonfly. It can fly 36 miles per hour. If a dragonfly flew in a straight path at this rate, what distance would it fly in 15 minutes? (1 hour = 60 minutes) *
2•5(16/2-2•3)-2
Simplified
Answer: 18
Step-by-step explanation: 16/2 = 8 - 6 = 2 x 10 = 20 - 2 = 18, sorry if i'm incorrect.
Explain why it is preferable to perform a model utility test before using an estimated regression model to make predictions or to estimate the mean y value for specified values of the independent variables
Answer:
The answer is explained below
Step-by-step explanation:
The reason for making the regression is generally to make predictions. So one should ask in what situations is the resulting estimated regression line y = b0 + b1 * x useful. In other words, since there is a linear relationship between x and y, in what situations would it be valid to say that the knowledge of the value x is not useful to predict a corresponding y.
When the value of B1 (or, equivalently, of p) is zero. However, it is entirely possible that B1 is 0 while b1 (our estimate for) is not zero due to random fluctuations between samples. Therefore, we require an inference procedure.
One of the inference procedures is that the model utility test is used to determine if there is any useful relationship between the dependent variable and the specified values of the independent variables.
So before using an estimated regression model, we run a utility test of the model
How many solutions does this equation have please help
Answer:
you are right there exist only one solution
Step-by-step explanation:
Find the perimeter of each figure
The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.
What is a hexagon?A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.
To calculate the perimeter of this hexagon, we must first identify the length of each side.
All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.
The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get
5 + 4 + 4 + 5 + 3 + 3 = 24.
Thus, the perimeter of the hexagon is 24 inches.
Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.
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Take out a piece of paper. Follow the directions below to create this tessellation from the description: Draw a hexagon. Use each of the hexagon's sides as one side of an equilateral triangle drawn outside the hexagon. The hexagon with its 6 triangles should look like a star. Now we make more stars, with an edge of one triangle from each new star sharing one side with a triangle on a previous star. If we draw new stars consistently on the same side of existing triangles in this case always on the clockwise side), you will get the image. Upload a photo of your feccellation below
Solution
Step 1
Draw the hexagon
Step 2
Draw the equilateral triangle to the hexagon
Write the ratio as a fraction in simplest form. Use / for fraction. Do NOT use any labels, and Do NOT type any spaces. Type the fraction only. 2 feet to 20 feet.
Answer:
It would be 1/10
Step-by-step explanation:
The ratio is 2:20
To put the ratio in fraction form you simply put 2/20
Then divide the fraction by 2 to get 1/10
rea84Respond to the following questions:Look at the above figure from section 9.5 in theOpenStax PreAlgebra text. Notice the semicircle onthe left,, and the adjacent right triangle.1. What is the measure of each of the two legs of the righttriangle? How can those measures be used to find themeasure of the hypotenuse?
1. 8,4. With the Pythagorean Relation.
2.a) Find the perimeter of that semicircle and add to that the hypotenuse and the smallest leg.
2b) The Perimeter is approximately 24.6 cm
3a) We would use the semicircle and triangle formula to find the area
3b) The area of that figure is approximately 66.3 cm²
We can find the measure of the missing leg of that triangle by taking the Pythagorean Theorem.
\(\begin{gathered} a^2=b^2+c^2 \\ \\ 8^2=4^2+c^2 \\ \\ 4^2+c^2=8^2 \\ \\ 4^2+c^2-4^2=8^2-4^2 \\ \\ c^2=48 \\ \\ c=\sqrt{48},\:c=-\sqrt{48} \\ \\ c=4\sqrt{3},\:-4\sqrt{3} \end{gathered}\)As there are no negative measures, we can tell that leg c is:
\(\begin{equation*} c=4\sqrt{3}, \end{equation*}\)1) So we can answer that by saying that with the help of the Pythagorean Theorem we can find the hypotenuse by considering the diameter of that semicircle as one of those triangle's legs.
2
a) To find the Perimeter of that figure we need to use the semi-circumference measure and then add the hypotenuse and the leg whose measure is 4. This way:
\(P=\frac{2\pi r}{2}+8+4\)Note that since the diameter is 8, the radius is 4 so let's plug it into that and solve it:
\(P=4\pi+12\)b) We can tell the Perimeter is:
\(P=4\pi+12\approx24.6\:cm\)Rounding it off to the nearest tenth.
3) If the point was to find the area, then we'd need to find the area of that semicircle and the area of that triangle.
\(\begin{gathered} A=\pu{}\pi r^2+\frac{bh}{2} \\ \\ A=16\pi+\frac{4\times8}{2} \\ \\ A=16\pi+\frac{32}{2} \\ \\ A=16\pi+16\approx66.3 \end{gathered}\)Let's sort the answers out at the top of the page
I'll mark whoever answers first!! Please help me
Answer:
Center ( -8, 1 )
Radius ( 13 )
The electrical power. P. dissipated by a certain motor is directly proportional to the square of the voltage. V of thecircuit in the motor and inversely proportional to the resistance, R of the circuit in the motor. Which of thefollowing equations correctly states the relationship between the power voltage, and resistance in this motor?(Note: kis the constant of proportionality)
Step 1
State the general relationship between the electrical power, P, the voltage of the motor, V, and the resistance R from the question
\(\begin{gathered} P\propto V^2----\text{ the direct proportionality betw}een\text{ the power, P and the square of the voltage, V} \\ P\propto\frac{1}{R}---\text{the inverse relationship betw}een\text{ the power, P and the Resistance, R} \\ \text{Merging both yields} \\ P\propto V^2\propto\frac{1}{R} \\ P\propto\frac{V^2}{R} \\ \text{If k = constant of proportionality} \\ P=\frac{kV^2}{R} \end{gathered}\)Hence the equation that correctly states the relationship between the power, voltage, and resistance is
\(P=\frac{kV^2}{R}\)